It aired on the History Channel originally. As far as I know they only made the one season of it.

If I remember correctly, you get 1 point for contact, 5 for breaking a lance, and 10 for un-horsing your opponent. If you are able to continue after being unhorsed, you can keep going so it's not exactly like an Ippon. I think they got something like 6 or 8 passes per match to score as many points as they could.

There is a fair bit of man drama in it, especially the episode where one of the competitors punches a horse and gets kicked off the show.

That's a different incident. The guy in the Herald Sun article was Barry Rogerson, some soccer fan that punched a police horse. On the show it was Landon Morris who punched the horse after it stepped on him.